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661152 = 2537197
BaseRepresentation
bin10100001011010100000
31020120221010
42201122200
5132124102
622100520
75422362
oct2413240
91216833
10661152
11411808
1227a740
131a1c1b
14132d32
15d0d6c
hexa16a0

661152 has 48 divisors (see below), whose sum is σ = 1778112. Its totient is φ = 215040.

The previous prime is 661139. The next prime is 661183. The reversal of 661152 is 251166.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6768 + ... + 6864.

It is an arithmetic number, because the mean of its divisors is an integer number (37044).

2661152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889056).

661152 is an abundant number, since it is smaller than the sum of its proper divisors (1116960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

661152 is a wasteful number, since it uses less digits than its factorization.

661152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 661152 is about 813.1125383365. The cubic root of 661152 is about 87.1165039776.

The spelling of 661152 in words is "six hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 97 142 194 213 284 291 388 426 568 582 776 852 1136 1164 1552 1704 2272 2328 3104 3408 4656 6816 6887 9312 13774 20661 27548 41322 55096 82644 110192 165288 220384 330576 661152